Vector bundles over unordered configuration spacesMPIM

by Leonid Ryvkin (Université Lyon 1 / Göttingen)

Wednesday Apr 23, 2025, 10:30 AM → 12:00 PM Europe/Berlin

MPIM, Vivatsgasse, 7 - Lecture Hall (Max Planck Institute for Mathematics)

Higher Differential Geometry Seminar

I will describe a recent construction of a symmetrized external tensor product of vector bundles of unordered configuration spaces (over some fixed manifold M). Together with the usual tensor product this construction induces a 2-monoidal structure on these vector bundles and naturally appears when trying to construct a geometric model for the multilocal observables in field theory. I will also discuss how equipping the configuration with a certain natural bornology can compensate the fact that they are non-compact, even when the initial manifold M is. This is based on joint work with Alessandra Frabetti and Olga Kravchenko